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Proof step 17 from proof valid-ebatbl-update-vhdrs-unused (previous step)

apebs[m, apeb][m] = mkpeb(aehdr, avhdr, buf, m2, boolvar), wlar[m] = wl-entry(m0, stat), vols[v][m1] = ⌜m⌝ , m1 < # vols[v], m < # apebs, v ∈ vols, ∀ v, m, n1. vols[v][m] = ⌜n1⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ wlar[n1].status = used ∧ n1 < # apebs ∧ n1 < # wlar ∧ apebs[n1].vidhdr.valid? ∧ apebs[n1].vidhdr.vol = v ∧ apebs[n1].vidhdr.leb = m ∧ n1 ≠ n ⊦ stat = used

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
wlar[m] = wl-entry(m0, stat), vols[v][m1] = ⌜m⌝ , m1 < # vols[v], m < # apebs, v ∈ vols, ∀ v, m, n1. vols[v][m] = ⌜n1⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ wlar[n1].status = used ∧ n1 < # apebs ∧ n1 < # wlar ∧ apebs[n1].vidhdr.valid? ∧ apebs[n1].vidhdr.vol = v ∧ apebs[n1].vidhdr.leb = m ∧ n1 ≠ n ⊦ stat = used

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m < # apebs → apebs[m, apeb][m] = apeb; (s)